6.5 expected value

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6.5 Expected Value Expected Value of a collection of outcomes is the sum of the products of the number of events’ (no two have outcomes in common) probabilities and their values.

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6.5 Expected Value. Expected Value of a collection of outcomes is the sum of the products of the number of events’ (no two have outcomes in common) probabilities and their values. E = p 1 x 1 + p 2 x 2 + p 3 x 3 +…p n x n Multiply the outcome by the probability and add to find - PowerPoint PPT Presentation

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Page 1: 6.5 Expected Value

6.5 Expected Value

Expected Value of a collection of outcomes is the sum of the products of the number of events’ (no two have outcomes in common) probabilities and their values.

Page 2: 6.5 Expected Value

E = p1x1 + p2x2 + p3x3+…pnx n

Multiply the outcome by the probability and add to find

the Expected Value.

Example 1

Page 3: 6.5 Expected Value

Each problem has 1 right and 2 wrong – 3 total. Probablity of guessing correctly is 1/3. Probability of guessing incorrectly is 2/3.

You win $10 for a correct answer and lose $ 6 for incorrect.

E = _____ (1/3) + _______(2/3) =

Example 2

Page 4: 6.5 Expected Value

-$7.48